Question

A piano tuner charges $63 for 1.5 hours of work. Which proportion can be used to find x, the number of dollars the piano tuner charges for 4 hours of work?

1) x4 = 1.5
2) 63 x 4 = 3.5
3) 2.5 x 63 = 1.5
4) 4 x 63 = 63

Answer 1

A proportion to find out how much a piano tuner charges for 4 hours of work is ($63 / 1.5 hours) = (x / 4 hours). By solving this proportion, we find that the piano tuner would charge $168 for 4 hours.

Step-by-step explanation:

To find x, the number of dollars the piano tuner charges for 4 hours of work, we want to set up a proportion that compares the number of hours worked to the amount charged. Since the piano tuner charges $63 for 1.5 hours, we can use the ratio $63/1.5 hours to find out how much is charged per hour. Then, we can set up the proportion as follows:

($63 / 1.5 hours) = (x / 4 hours)

To solve for x, you would cross multiply and divide:

1.5x = 63 * 4

x = (63 * 4) / 1.5

x = 168

So the piano tuner would charge $168 for 4 hours of work.